{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Context\n",
    "In today's competitive world, it is crucial to understand customer bahaviour and categorise customers based on their demography and buying behaviour. This is broadly one aspect of customer segmentation that allows marketers to better tailor their marketing efforts to various audience subsets in terms of promotional, marketing and product development strategies."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Objective\n",
    "This article demonstrates the concept of segmentation of a customer dataset from an e-commerce site using k-means clustering in python. The dataset contains the annual income of ~300 customers and their annual spend on an e-commerce site. We will use the kmeans and the hierarchical clustering algorithms to derive the optimum number of clusters and understand the underlying customer segments based on the data provided. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "About the dataset\n",
    "The dataset consists of Annual income (in $000) and their total spend (in $000) on an e-commerce site for a period of one year. Let us explore the data using numpy and pandas libraries in python."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Load the required packages\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#Plot styling\n",
    "import seaborn as sns; sns.set()  # for plot styling\n",
    "%matplotlib inline\n",
    "\n",
    "plt.rcParams['figure.figsize'] = (16, 9)\n",
    "plt.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset=pd.read_csv('CLV.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>INCOME</th>\n",
       "      <th>SPEND</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>233</td>\n",
       "      <td>150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>250</td>\n",
       "      <td>187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>204</td>\n",
       "      <td>172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>236</td>\n",
       "      <td>178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>354</td>\n",
       "      <td>163</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   INCOME  SPEND\n",
       "0     233    150\n",
       "1     250    187\n",
       "2     204    172\n",
       "3     236    178\n",
       "4     354    163"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "303"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(dataset) # of rows"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>INCOME</th>\n",
       "      <td>303.0</td>\n",
       "      <td>245.273927</td>\n",
       "      <td>48.499412</td>\n",
       "      <td>126.0</td>\n",
       "      <td>211.0</td>\n",
       "      <td>240.0</td>\n",
       "      <td>274.0</td>\n",
       "      <td>417.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SPEND</th>\n",
       "      <td>303.0</td>\n",
       "      <td>149.646865</td>\n",
       "      <td>22.905161</td>\n",
       "      <td>71.0</td>\n",
       "      <td>133.5</td>\n",
       "      <td>153.0</td>\n",
       "      <td>166.0</td>\n",
       "      <td>202.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        count        mean        std    min    25%    50%    75%    max\n",
       "INCOME  303.0  245.273927  48.499412  126.0  211.0  240.0  274.0  417.0\n",
       "SPEND   303.0  149.646865  22.905161   71.0  133.5  153.0  166.0  202.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset.describe().transpose() #descriptive statistics of the dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset consists of 303 rows. The mean annual income is $245000 and the mean annual spend is $149000. The distribution of the annual income and annual spend has been illustrated with a distplot and violinplot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'Income / spend')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9a9e3ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Visualising the data\n",
    "plot_income = sns.distplot(dataset[\"INCOME\"])\n",
    "plot_spend = sns.distplot(dataset[\"SPEND\"])\n",
    "plt.xlabel('Income / spend')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0, 420)]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9a9eff98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, axes = plt.subplots(1,2, figsize=(12,6), sharex=True, sharey=True)\n",
    "v1 = sns.violinplot(data=dataset, x='INCOME', color=\"skyblue\",ax=axes[0])\n",
    "v2 = sns.violinplot(data=dataset, x='SPEND',color=\"lightgreen\", ax=axes[1])\n",
    "v1.set(xlim=(0,420))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2db9af6afd0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9aa8f9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the values to understand the spread\n",
    "Income = dataset['INCOME'].values\n",
    "Spend = dataset['SPEND'].values\n",
    "X = np.array(list(zip(Income, Spend)))\n",
    "plt.scatter(Income, Spend, c='black', s=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x2db9ae4bfd0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9ad30438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##plot in 3D space\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.scatter(X[:, 0], X[:, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clustering fundamentals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=dataset.iloc[:,[0,1]].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9aea37b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Using the elbow method to find the ideal number of clusters\n",
    "from sklearn.cluster import KMeans\n",
    "wcss = []\n",
    "for i in range(1,11):\n",
    "    km=KMeans(n_clusters=i,init='k-means++', max_iter=300, n_init=10, random_state=0)\n",
    "    km.fit(X)\n",
    "    wcss.append(km.inertia_)\n",
    "plt.plot(range(1,11),wcss)\n",
    "plt.title('Elbow Method')\n",
    "plt.xlabel('Number of clusters')\n",
    "plt.ylabel('wcss')\n",
    "plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters=2, The Silhouette Coefficient is 0.44006694211403197\n",
      "For n_clusters=3, The Silhouette Coefficient is 0.35962629048722355\n",
      "For n_clusters=4, The Silhouette Coefficient is 0.3618396084064086\n",
      "For n_clusters=5, The Silhouette Coefficient is 0.33501999301430946\n",
      "For n_clusters=6, The Silhouette Coefficient is 0.3689930147198941\n",
      "For n_clusters=7, The Silhouette Coefficient is 0.36047847829548096\n",
      "For n_clusters=8, The Silhouette Coefficient is 0.3603118868409036\n",
      "For n_clusters=9, The Silhouette Coefficient is 0.3523862514454216\n",
      "For n_clusters=10, The Silhouette Coefficient is 0.35352514662649154\n"
     ]
    }
   ],
   "source": [
    "#Calculating the silhoutte coefficient\n",
    "from sklearn.metrics import silhouette_score\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "\n",
    "\n",
    "for n_cluster in range(2, 11):\n",
    "    kmeans = KMeans(n_clusters=n_cluster).fit(X)\n",
    "    label = kmeans.labels_\n",
    "    sil_coeff = silhouette_score(X, label, metric='euclidean')\n",
    "    print(\"For n_clusters={}, The Silhouette Coefficient is {}\".format(n_cluster, sil_coeff))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9a9c42e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-868805.478547855, -416914.67764462164, -297101.3764201936, -235650.00116531132, -193333.51167275765, -159605.83665567316, -134301.5089045013, -114932.44322254979, -101316.50358203163, -90466.01806102047, -81003.10076501571, -73124.95832961294, -67379.34877424358, -61370.364536163994, -58401.624608191225, -55037.27969172646, -51798.06286787144, -47113.48659266996, -44546.509152745755]\n"
     ]
    }
   ],
   "source": [
    "import pylab as pl\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "Nc = range(1, 20)\n",
    "kmeans = [KMeans(n_clusters=i) for i in Nc]\n",
    "kmeans\n",
    "score = [kmeans[i].fit(X).score(X) for i in range(len(kmeans))]\n",
    "score\n",
    "pl.plot(Nc,score)\n",
    "pl.xlabel('Number of Clusters')\n",
    "pl.ylabel('Score')\n",
    "pl.title('Elbow Curve')\n",
    "pl.show()\n",
    "\n",
    "print(score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k: 1  cost: 868805.4785478548\n",
      "k: 2  cost: 416914.67764462065\n",
      "k: 3  cost: 297101.3764201943\n",
      "k: 4  cost: 235568.75630353513\n",
      "k: 5  cost: 193333.51167275637\n",
      "k: 6  cost: 158999.20745160058\n",
      "k: 7  cost: 135314.10167803388\n",
      "k: 8  cost: 115686.57935998778\n",
      "k: 9  cost: 102546.93727877043\n",
      "k: 10  cost: 91556.28599714936\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for k in range (1, 11):\n",
    "    kmeans_model = KMeans(n_clusters=k, random_state=1).fit(X)\n",
    "    labels = kmeans_model.labels_\n",
    "    interia = kmeans_model.inertia_\n",
    "    print (\"k:\",k, \" cost:\", interia)\n",
    "print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "##Fitting kmeans to the dataset\n",
    "km4=KMeans(n_clusters=4,init='k-means++', max_iter=300, n_init=10, random_state=0)\n",
    "y_means = km4.fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2db9c41dbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Visualising the clusters for k=4\n",
    "plt.scatter(X[y_means==0,0],X[y_means==0,1],s=50, c='purple',label='Cluster1')\n",
    "plt.scatter(X[y_means==1,0],X[y_means==1,1],s=50, c='blue',label='Cluster2')\n",
    "plt.scatter(X[y_means==2,0],X[y_means==2,1],s=50, c='green',label='Cluster3')\n",
    "plt.scatter(X[y_means==3,0],X[y_means==3,1],s=50, c='cyan',label='Cluster4')\n",
    "\n",
    "plt.scatter(km4.cluster_centers_[:,0], km4.cluster_centers_[:,1],s=200,marker='s', c='red', alpha=0.7, label='Centroids')\n",
    "plt.title('Customer segments')\n",
    "plt.xlabel('Annual income of customer')\n",
    "plt.ylabel('Annual spend from customer on site')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x211debea828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Visualising the clusters\n",
    "plt.scatter(X[y_means==0,0],X[y_means==0,1],s=50, c='purple',label='Cluster1')\n",
    "plt.scatter(X[y_means==1,0],X[y_means==1,1],s=50, c='blue',label='Cluster2')\n",
    "plt.scatter(X[y_means==2,0],X[y_means==2,1],s=50, c='green',label='Cluster3')\n",
    "plt.scatter(X[y_means==3,0],X[y_means==3,1],s=50, c='cyan',label='Cluster4')\n",
    "plt.scatter(X[y_means==4,0],X[y_means==4,1],s=50, c='magenta',label='Cluster5')\n",
    "plt.scatter(X[y_means==5,0],X[y_means==5,1],s=50, c='orange',label='Cluster6')\n",
    "\n",
    "plt.scatter(km.cluster_centers_[:,0], km.cluster_centers_[:,1],s=200,marker='s', c='red', alpha=0.7, label='Centroids')\n",
    "plt.title('Customer segments')\n",
    "plt.xlabel('Annual income of customer')\n",
    "plt.ylabel('Annual spend from customer on site')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x211e4895208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Using the dendrogram to find the optimal number of clusters\n",
    "import scipy.cluster.hierarchy as sch\n",
    "dend=sch.dendrogram(sch.linkage(X, method='ward'))\n",
    "plt.title(\"Dendrogram\")\n",
    "plt.xlabel('Customer')\n",
    "plt.ylabel('euclidean')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0,\n",
       "       0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0,\n",
       "       2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1,\n",
       "       0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1,\n",
       "       1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0,\n",
       "       2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0,\n",
       "       0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0,\n",
       "       1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1,\n",
       "       0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0,\n",
       "       0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0,\n",
       "       2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0,\n",
       "       1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0,\n",
       "       1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2,\n",
       "       1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], dtype=int64)"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fitting Hierarchical Clustering to the dataset\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "hc=AgglomerativeClustering(n_clusters=3, affinity='euclidean', linkage='ward' )\n",
    "y_hc = hc.fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x211e45bbdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualising the clusters\n",
    "plt.scatter(X[y_hc == 0, 0], X[y_hc == 0, 1], s = 100, c = 'red', label = 'Cluster 1')\n",
    "plt.scatter(X[y_hc == 1, 0], X[y_hc == 1, 1], s = 100, c = 'blue', label = 'Cluster 2')\n",
    "plt.scatter(X[y_hc == 2, 0], X[y_hc == 2, 1], s = 100, c = 'green', label = 'Cluster 3')\n",
    "# plt.scatter(X[y_hc == 3, 0], X[y_hc == 3, 1], s = 100, c = 'cyan', label = 'Cluster 4')\n",
    "# plt.scatter(X[y_hc == 4, 0], X[y_hc == 4, 1], s = 100, c = 'magenta', label = 'Cluster 5')\n",
    "# plt.scatter(X[y_hc == 5, 0], X[y_hc == 5, 1], s = 100, c = 'orange', label = 'Cluster 6')\n",
    "\n",
    "plt.title('Clusters of customers')\n",
    "plt.xlabel('Annual Income (k$)')\n",
    "plt.ylabel('Annual spend')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "cannot concatenate object of type \"<class 'str'>\"; only pd.Series, pd.DataFrame, and pd.Panel (deprecated) objs are valid",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-107-efc65f3995ad>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;31m##Grouping by cluster\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mdataset\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'y_hc'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      3\u001b[0m \u001b[0mgrouped_cluster\u001b[0m\u001b[1;33m=\u001b[0m \u001b[0mdataset\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgroupby\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'y_hc'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mgrouped_cluster\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'INCOME'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcount\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mC:\\python\\lib\\site-packages\\pandas\\core\\frame.py\u001b[0m in \u001b[0;36mappend\u001b[1;34m(self, other, ignore_index, verify_integrity)\u001b[0m\n\u001b[0;32m   5192\u001b[0m             \u001b[0mto_concat\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mother\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   5193\u001b[0m         return concat(to_concat, ignore_index=ignore_index,\n\u001b[1;32m-> 5194\u001b[1;33m                       verify_integrity=verify_integrity)\n\u001b[0m\u001b[0;32m   5195\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   5196\u001b[0m     def join(self, other, on=None, how='left', lsuffix='', rsuffix='',\n",
      "\u001b[1;32mC:\\python\\lib\\site-packages\\pandas\\core\\reshape\\concat.py\u001b[0m in \u001b[0;36mconcat\u001b[1;34m(objs, axis, join, join_axes, ignore_index, keys, levels, names, verify_integrity, copy)\u001b[0m\n\u001b[0;32m    210\u001b[0m                        \u001b[0mkeys\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mkeys\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mlevels\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mlevels\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnames\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnames\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    211\u001b[0m                        \u001b[0mverify_integrity\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mverify_integrity\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 212\u001b[1;33m                        copy=copy)\n\u001b[0m\u001b[0;32m    213\u001b[0m     \u001b[1;32mreturn\u001b[0m \u001b[0mop\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_result\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    214\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mC:\\python\\lib\\site-packages\\pandas\\core\\reshape\\concat.py\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, objs, axis, join, join_axes, keys, levels, names, ignore_index, verify_integrity, copy)\u001b[0m\n\u001b[0;32m    270\u001b[0m                        \u001b[1;34m' only pd.Series, pd.DataFrame, and pd.Panel'\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    271\u001b[0m                        ' (deprecated) objs are valid'.format(type(obj)))\n\u001b[1;32m--> 272\u001b[1;33m                 \u001b[1;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    273\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    274\u001b[0m             \u001b[1;31m# consolidate\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mTypeError\u001b[0m: cannot concatenate object of type \"<class 'str'>\"; only pd.Series, pd.DataFrame, and pd.Panel (deprecated) objs are valid"
     ]
    }
   ],
   "source": [
    "##Grouping by cluster\n",
    "dataset.append('y_hc')\n",
    "grouped_cluster= dataset.groupby('y_hc')\n",
    "grouped_cluster['INCOME'].count()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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